12923763033600 has 1620 divisors, whose sum is σ = 50388867773244. Its totient is φ = 3162714439680.

The previous prime is 12923763033539. The next prime is 12923763033617. The reversal of 12923763033600 is 633036732921.

12923763033600 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 3 + 7 + 6 + 3 + 0 + 33 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 56932876687 + ... + 56932876913.

Almost surely, 2^{12923763033600} is an apocalyptic number.

12923763033600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12923763033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25194433886622).

12923763033600 is an abundant number, since it is smaller than the sum of its proper divisors (37465104739644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12923763033600 is a wasteful number, since it uses less digits than its factorization.

12923763033600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 12923763033600 in words is "twelve trillion, nine hundred twenty-three billion, seven hundred sixty-three million, thirty-three thousand, six hundred".